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Finding the Fourth Proportional to 467.46, 699.54 and 321.39

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Solution

The fourth proportional to 467.46, 699.54 and 321.39 is: 480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.46 : 699.54 = 321.39 : x
  2. Step 2: Convert to fraction form
    467.46/699.54 = 321.39/x
  3. Step 3: Cross multiply
    467.46x = 699.54 × 321.39
  4. Step 4: Simplify right side
    467.46x = 224,825.16
  5. Step 5: Solve for x
    x = 224,825.16/467.46
  6. Step 6: Final answer
    x = 480.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.